36222844329 has 189 divisors, whose sum is σ = 67958117703. Its totient is φ = 19239371424.

The previous prime is 36222844277. The next prime is 36222844351. The reversal of 36222844329 is 92344822263.

The square root of 36222844329 is 190323.

It is a perfect power (a square), and thus also a powerful number.

36222844329 is a `hidden beast` number, since 3 + 62 + 228 + 44 + 329 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26112944025 + 10109900304 = 161595^2 + 100548^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 36222844329 - 2⁷ = 36222844201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36222844529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 683449867 + ... + 683449919.

Almost surely, 2^36222844329 is an apocalyptic number.

36222844329 is the 190323-rd square number.

36222844329 is the 95162-nd centered octagonal number.

It is an amenable number.

36222844329 is a deficient number, since it is larger than the sum of its proper divisors (31735273374).

36222844329 is an frugal number, since it uses more digits than its factorization.

36222844329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 82 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 36222844329 in words is "thirty-six billion, two hundred twenty-two million, eight hundred forty-four thousand, three hundred twenty-nine".